What is the 9763rd prime number?
The 9763rd prime number is 101963. The next prime is 101977 (a gap of 14) and the one before is 101957.
Position
Pick any whole number from 1 to 10,000.
How to work it out
- 1
List the primes in order: 2, 3, 5, 7, 11, 13, ā¦ The 9763rd one is 101963.
- 2
101963 is prime because no prime up to ā101963 ā 319.32 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9763rd prime is close to 9763 Ć ln(9763) ā 89686, and here it is 101963.
- 4
101963 has no twin: neither 101961 nor 101965 is prime.
Primes around the 9763rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 9760 | 101929 | 8 |
| 9761 | 101939 | 10 |
| 9762 | 101957 | 18 |
| 9763 | 101963 | 6 |
| 9764 | 101977 | 14 |
| 9765 | 101987 | 10 |
| 9766 | 101999 | 12 |
Questions
What is the 9763rd prime number?
101963.
Which prime number is 101963?
101963 is the 9763rd prime number.
What is the sum of the first 9763 primes?
471,670,700.